I would.
If your washer will allow you - i soak and wash and rinse the pieces in my kitchen sink - then I carry the wet pieces to my washing machine and set it to "spin" to get most of the moisture out.
For drying, one can lay the pieces on a towel, hang on a drying rack,, hang on a line,, or dry in a dryer..
i overcast the edges before washing- even relatively small pieces.